An optimized matrix product state representation with DMRG-inspired solver solves the Peierls-Boltzmann transport equation for crystalline silicon phonons with high fidelity at 10^{-3} compression and sublinear scaling in grid size.
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A functional tree tensor network framework derives Runge-Kutta order conditions by direct comparison of tensor-structured Taylor expansions for exact and numerical solutions.
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Solving the Peierls-Boltzmann transport equation with matrix product states
An optimized matrix product state representation with DMRG-inspired solver solves the Peierls-Boltzmann transport equation for crystalline silicon phonons with high fidelity at 10^{-3} compression and sublinear scaling in grid size.
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Derivation of Runge--Kutta Order Conditions via Functional Tree Tensor Networks
A functional tree tensor network framework derives Runge-Kutta order conditions by direct comparison of tensor-structured Taylor expansions for exact and numerical solutions.